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Finding the Third Proportional to 664.13 and 964.31

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Solution

The third proportional to 664.13 and 964.31 is: 1,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 964.31 = 964.31 : x
  2. Step 2: Convert to fraction form
    664.13/964.31 = 964.31/x
  3. Step 3: Cross multiply
    664.13x = 964.31 × 964.31
  4. Step 4: Simplify right side
    664.13x = 929,898.60
  5. Step 5: Solve for x
    x = 929,898.60/664.13
  6. Step 6: Final answer
    x = 1,400.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.